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  1. #1
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    calculus question help

    can someone help me with this question????/

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  2. #2
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    Well since it's the graph of f', f is decreasing when f' is negative. f' is negative when it's below the x-axis.

    and a local maximum is when f' is positive, then 0 (horizontal tangent), then negative..

    local minimum when f' is going from negative, 0, and then positive again.
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  3. #3
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    Quote Originally Posted by rachellediamond130 View Post
    can someone help me with this question????/

    http://farm4.static.flickr.com/3002/...e2d4bf.jpg?v=0
    Here is what you need to know and use:

    f is increasing when f' > 0.

    f is decreasing when f' < 0.

    Stationary point when f' = 0. Nature of stationary point. Use sign test:

    Let a < b < c.

    Local max at x = b if f'(b) = 0 and f'(a) > 0 and f'(c) < 0.

    Local min at x = b if f'(b) = 0 and f'(a) < 0 and f'(c) > 0.
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